Level
pending

If a polynomial \(p(x)=a_qx^q+a_{q-1}x^{q-1}+\cdots+a_1x+a_0\) satisfies

\[p(m+n+p(m^{2014}-2014n))=2014+p(m)+p(n)\]

for all integral values of \(m,n\), find the largest value of \(q\)

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